database-knotinfo 0.6

Content of the KnotInfo and LinkInfo databases as lists of dictionaries

Database KnotInfo

This repository contains a snapshot of the complete content of the KnotInfo and LinkInfo databases. It is provided as Python lists of Python dictionaries. These are obtained from the corresponding Excel spreadsheets available on the KnotInfo and LinkInfo hompages on the date of release.

The repository has been created as a part of the SageMath interface to theses databases (see Trac ticket #30352) but can also be used independently.

In Python code it can be used in den following way:

>>> from database_knotinfo import link_list
>>> k = link_list()
>>> len(k)
2979
>>> names_k = k[0]
>>> type(names_k)
<type 'dict'>
>>> names_k['braid_index']
'Braid Index'
>>> k2 = k[2]
>>> k2['name']
'3_1'
>>> k2['braid_index']
'2'
>>> k2['homfly_polynomial']
'(2*v^2-v^4)+(v^2)*z^2'

>>> l = link_list(proper_links=True)
>>> len(l)
4189
>>> names_l = l[0]
>>> type(names_l)
<type 'dict'>
>>> names_l['braid_notation']
'Braid Notation'
>>> l2 = l[2]
>>> l2['name']
'L2a1{1}'
>>> l2['homflypt_polynomial']
'v/z-v^3/z + v*z'

In order to build a new release, the CSV files can be upgraded with the create_knotinfo_csv.py script.

Installation

Python

pip install database_knotinfo

SageMath

Once ticket #30352 will be released the database can be installed in Sage by:

sage -i database_knotinfo

This will contain integration with the knot and link functionality of Sage. Of course the flat Python functionality is available before by:

sage -pip install database_knotinfo